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Influence of creep of the material of inclusions on the stress concentration in the body

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Materials Science Aims and scope

We solve the problem of determination of the stress-strain state of an elastic plate with thin viscoelastic inclusion. The problem is reduced to a singular integrodifferential equation whose exact solution is obtained for the case of elliptic inclusion. Several creep kernels used to describe the rheological properties of the material of the inclusion are analyzed. The stresses acting in the inclusion and their concentration in the matrix in the vicinity of the inclusion are determined.

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References

  1. Yu. N. Rabotnov, Creep of Structural Elements [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  2. R. M. Christensen, Theory of Viscoelasticity: An Introduction, Springer, New York (1972).

    Google Scholar 

  3. A. A. Kaminskii, Fracture of Viscoelastic Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  4. G. Ya. Popov, Concentration of Elastic Stresses near Stamps, Cuts, Thin Inclusions, and Reinforcements [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  5. V. V. Panasyuk, M. M. Stadnik, and V. P. Silovanyuk, Stress Concentration in Three-Dimensional Bodies with Thin Inclusions [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  6. H. T. Sulym, Fundamentals of the Mathematical Theory of Thermoelastic Equilibrium of Deformed Solid Bodies with Thin Inclusions [in Ukrainian], Doslid.-Vydav. Tsentr NTSh, Lviv (2007).

    Google Scholar 

  7. V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Distribution of Stresses Near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  8. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review, McGraw-Hill, New York–Toronto–London (1968).

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Authors and Affiliations

  1. Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv, Ukraine

    V. P. Sylovanyuk & A. V. Revenko

Authors
  1. V. P. Sylovanyuk
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  2. A. V. Revenko
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Correspondence to V. P. Sylovanyuk.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 45, No. 4, pp. 76–80, July–August, 2009.

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Sylovanyuk, V.P., Revenko, A.V. Influence of creep of the material of inclusions on the stress concentration in the body. Mater Sci 45, 555–561 (2009). https://doi.org/10.1007/s11003-010-9213-4

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  • DOI: https://doi.org/10.1007/s11003-010-9213-4

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